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Simplifying 9x + 33 + 2w + -12 = -11y + 16 Reorder the terms: 33 + -12 + 2w + 9x = -11y + 16 Combine like terms: 33 + -12 = 21 21 + 2w + 9x = -11y + 16 Reorder the terms: 21 + 2w + 9x = 16 + -11y Solving 21 + 2w + 9x = 16 + -11y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 2w + -21 + 9x = 16 + -21 + -11y Reorder the terms: 21 + -21 + 2w + 9x = 16 + -21 + -11y Combine like terms: 21 + -21 = 0 0 + 2w + 9x = 16 + -21 + -11y 2w + 9x = 16 + -21 + -11y Combine like terms: 16 + -21 = -5 2w + 9x = -5 + -11y Add '-9x' to each side of the equation. 2w + 9x + -9x = -5 + -9x + -11y Combine like terms: 9x + -9x = 0 2w + 0 = -5 + -9x + -11y 2w = -5 + -9x + -11y Divide each side by '2'. w = -2.5 + -4.5x + -5.5y Simplifying w = -2.5 + -4.5x + -5.5y
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